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This list omits purely research institutions such as the Max Planck institutes, which as a whole are a behemoth:

And CNRS in France. The first British one is University College London, after Max Planck Society and CNRS.

The Nature Index (http://www.natureindex.com/annual-tables/2016/institution/al... ) has CNRS 3rd, then the Max Planck institutes 4th, and the first British one, Oxford, is 7th.